Title of article :
SOLVING FRACTIONAL-ORDER COMPETITIVE LOTKA-VOLTERRA MODEL BY NSFD SCHEMES
Author/Authors :
ZIBAEI, S Department of Mathematics - School of Mathematical Sciences - Vali-e-Asr University of Rafsanjan - Rafsanjan, Iran , NAMJOO, M Department of Mathematics - School of Mathematical Sciences - Vali-e-Asr University of Rafsanjan - Rafsanjan, Iran
Abstract :
In this paper, we introduce fractional-order into a model competitive LotkaVolterra prey-predator system. We will discuss the stability analysis of this fractional
system. The non-standard finite difference (NSFD) scheme is implemented to study the
dynamic behaviors in the fractional-order Lotka-Volterra system. Proposed non-standard
numerical scheme is compared with the forward Euler and fourth order Runge-Kutta
methods. Numerical results show that the NSFD approach is easy and accurate for
implementing when applied to fractional-order Lotka-Volterra model.
Keywords :
fractional differential equations , Lotka-Volterra model , competitive preypredator system , non-standard finite difference scheme , stability
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
